Help With Simple Logarithms?

Question

log x=2
5

Answer 1

I had a great teacher many years ago who taught us a different way of reading logarithmic equations.

Instead of "the log base 5 of x equals 2", she would actually make us say "the exponent to which we raise the base 5, to get x, is 2". In that phrasing, it's much more obvious that you're going to raise 5 to the power 2.

Keep that in mind; it might help you out on a future problem.

Answer 2

In following solution, "log" is taken to mean log base 5.
log x = 2
x = 5²
x = 25

Answer 3

I'm assuming you mean log with a base of 5.

For log(base b) x = y, x = b^y, so in this case x = 5^2 = 25.

--charlie

Answer 4

If the 5 on the bottom is the base of the logarithm, then change it to exponential form, which is:

5^2=x

25=x

Your answer is 25.

Answer 5

Do you mean log to the base 5?

log_5(x) = 2

Hence x = 5^2 = 25

Answer 6

is that log with a base of 5?
if so, remember log (baseb) x=a can be rewritten as
b^a=x so 5^2=25 (man it is difficult to type math stuff here!)